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Simplifying 4x + 7y + -7z + 4x + -1y + 10z = 0 Reorder the terms: 4x + 4x + 7y + -1y + -7z + 10z = 0 Combine like terms: 4x + 4x = 8x 8x + 7y + -1y + -7z + 10z = 0 Combine like terms: 7y + -1y = 6y 8x + 6y + -7z + 10z = 0 Combine like terms: -7z + 10z = 3z 8x + 6y + 3z = 0 Solving 8x + 6y + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 8x + 6y + -6y + 3z = 0 + -6y Combine like terms: 6y + -6y = 0 8x + 0 + 3z = 0 + -6y 8x + 3z = 0 + -6y Remove the zero: 8x + 3z = -6y Add '-3z' to each side of the equation. 8x + 3z + -3z = -6y + -3z Combine like terms: 3z + -3z = 0 8x + 0 = -6y + -3z 8x = -6y + -3z Divide each side by '8'. x = -0.75y + -0.375z Simplifying x = -0.75y + -0.375z
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